200 
PEOFESSOR KARL PEARSON, MATHEMATICAL 
Several results may be noted with regard to this table : (i.) In the first place let 
us compare our results with those which would be given by M. Maxotjveiee’s 
Tableau II.* Corresponding to our cases (a), (b), (c), (d) he would obtain ;— 
Male. 
Female. 
Calculated value. 
Difference. 
Calculated value. 
Difference. 
(a). 
156-80 
+ 0-10 
145-36 
-1-74 
(h) . 
152-47 
-4-23 
146 86 
-0-24 
(c). 
155-59 
-1-11 
147-32 
+ 0-22 
(D. 
161-13 
+ 4-43 
153-08 
+ 5-98 
(/). 
156-19 
-0-51 
146-34 
-0-76 
(D. 
156-80 
+ 0-10 
149-92 
+ 2-82 
(7). 
154-63 
-2-07 
146-11 
-0-99 
(D. 
156-50 
-0-‘20 
148-15 
+ 1-05 
Observed .... 
156-70 
0 
147-10 
0 
Here (/), (/;), (^), and {k) are obtained by taking means of the results for the 
single bones. Comparing the first four formulae with my first four, M. Maxott\ eter 
has for male a mean error of 2‘47 centims. against my 1'58 centims., and for the last 
four a mean error of'72 centim. as against my '50 centim. His error in stature, as 
deduced from the male humerus, is greater than my error from the radius even. In 
the male measurements M. Manouveier has a mean error of 2'04 centims. against 
my H4 8 centims. in the first four results, and one of 1'40 centims. against my 
•42 centim. in the last four results. 
But these results by no means represent the full advantage of the present theory. 
An examination of the results shows us the formulae give good, i.e., consistent results 
except in the case of the radius. Here it is that the greatest difierentiation has 
taken place, very possibly owing to the direct selection of other long bones. Our 
general principles (p. 177) accordingly suggest that we should omit the results for this 
bone from our consideration. The best formulae then to use will be (e), (/), and (i ); we 
shall then have a mean error of '15 centim. for male and ‘06 centim. for female—a better 
approximation to the true stature could not possibly be reached. M. Maxouveiee, 
by the process of means, would have deduced from the same three bones a male 
stature with an error of 1'75 centims. and a female stature with one of ‘59 centim. 
Dr. Beddoe’s rulet would give for male Aino 155'.3 centims., and female Aino 
146‘6 centims., or errors of 1'4 centims. and ‘5 centim. ; in this case not as great as 
those of M. Manouveier, but still sensibly greater than our (e), {f), or (^). 
The accordance obtained between the formulae for reconstruction which I have given, 
* Loc. cit., tables at end of IMemoir. 
t ‘Journal of the Anthropological Institute,’ vol. 17, 1887, p. 205. 
